参数未知混沌系统的分段函数投影同步及参数辨识

利用牵制控制技术,基于Lyapunov稳定性原理,设计自适应控制器和参数辨识法则,实现混沌系统的分段函数投影同步,对系统的未知参数进行辨识,数值仿真表明了控制器和参数辨识法则的有效性.     

参数不确定的超混沌系统的异结构同步

基于自通适应控制策略和Lyapunov稳定性理论,在参数未知的情况下,讨论了超混沌Qi系统与趟混沌Chen系统的异结构同步、设计控制器和参数估计率,实现了两个具有不同结构的超混沌系统的同步,方法简单有效,易于实现,理论分析和数值仿真的结果均证明了该方法的可行性,且该办法可以用来实现其他的超混沌系统的同步.     

带有不确定性异结构混沌系统的有限时间同步

研究带有未知参数和外界扰动的异结构混沌系统有限时间同步,采用自适应控制方法实现系统的有限时间同步,引入虚拟未知参数有效地避免控制器和参数更新率中出现系统未知参数问题。通过数值仿真验证了该方法的有效性。     

一个新混沌系统的自适应同步

利用自适应控制的方法，给出了一个新混沌系统的同步控制器和参数自适应律，使两个恒等系统达到了自适应同步同时识别未知参数．该控制器设计简单，易于实现，数值仿真表明所提方法具有效性．     

基于Lorenz衍生的混沌系统参数调节自适应同步

通过结合Lorenz经典系统特征及原理、系统复杂的动力学,衍生出一类新的拓展系统.对该系统在不同参数下复杂的动力学现象进行分析,采用罗斯—霍维兹判别方法验证其正确性和可操作性,采用4阶龙格—库塔方法进行迭代计算,对主从系统的混沌同步进行计算机仿真模拟,实现对该系统混沌现象和参数调节自适应同步的研究.     

一类混沌系统的自适应混合投影同步研究

以LFRBM系统和超混沌Lu系统为例,基于Lyapunov稳定性理论,采用非线性反馈控制方法,通过设计合适的控制器,对混沌系统的自适应混合投影同步问题进行了研究．理论分析证明该控制器可以使一类自治混沌系统达到自适应混合投影同步,数值仿真证明该控制方法是有效的．     

两个异结构超混沌Liu系统的同步研究

研究两个不同结构超混沌Liu系统的同步问题彳4用非线性控制方法,构建了实现它们同步非线性控制器．借助于李雅普诺夫稳定性定理,从理论上证明了同步误差系统是全局渐近稳定的．Matlab数值仿真结果表明所设计的非线性控制器能有效地实现超混沌Liu系统同步．     

不确定变形耦合发电机系统的参数辨识与自适应同步

研究了不确定变形耦合发电机系统的自适应同步和参数辨识,设计了自适应控制器和参数更新规则,理论证明了该控制器可使得两个变形耦合发电机系统——驱动系统和未知参数的响应系统渐进地达到同步,并且可以辨识出响应系统的未知参数.数值模拟结果证明了该控制器的有效性.     

一类金融混沌系统的广义投影同步

以一类金融混沌系统为例,提出了一个驱动系统对应多个响应系统的广义投影同步方法,实现了驱动-响应-响应系统之间的同结构广义投影同步,以及三个类型完全不同的混沌系统的异结构广义投影同步。通过改变广义投影同步的比例因子,获得了任意比例于原驱动混沌系统输出的混沌信号,数值仿真验证了此方法的有效性。     

超混沌Lorenz系统与超混沌Rossler系统的异结构同步

超混沌系统的异结构同步是非线性科学领域研究的一项重要内容。基于Lyapunov稳定性理论,在参数全部未知的情况下,分别实现了超混沌Lorenz系统与超混沌Rossler系统的主动和自适应同步,并且利用数值模拟来阐释理论的有效性。     

Adaptive synchronization of chaotic Colpitts circuits against parameter mismatches and channel distortions

In this work, synchronization of chaotic Colpitts circuits, using adaptive controllers to combat circuit parameter mismatches and channel distortions, is studied by numerical simulations. Synchronization errors caused by different main circuit components are compared, and compensation for time-constant and time-varying circuit parameter mismatches is demonstrated. Different kinds of channel distortions, including time-constant and time-varying channel attenuation, Additive White Gaussian Noise (AWGN) are all investigated by numerical simulations and discussed. Simulation results indicated that the synchronization performance of chaotic Colpitts circuits can be greatly improved by applying adaptive controllers when parameter mismatches and channel attenuation are considered as time-constant or time-varying, but have no obvious enhancements regarding the effect on AWGN channel.     

关于混沌洛伦兹系统和陈系统中的广义投影同步

1 Introduction Since Pecora and Carroll[1]showed that it is possibleto synchronize two identical chaotic systems , chaossynchronization has been intensively and extensivelystudied due to its potential applications in secure com-munication,ecological systems ,systemidentification,etc.(see [2] and a huge volume of references citedtherein) . Among all kinds of chaos synchronizations ,projec-tive synchronization is one of the most noticeableones .This kind of synchronization was first observedin …     

Sliding mode control for synchronization of chaotic systems with structure or parameters mismatching

INTRODUCTION Synchronization of chaotic systems and its ap-plication to secure communication has recently re-ceived much attention. Several chaos synchronization schemes have been successfully established (Liao and Huang, 1999; Jiang, 2002; Zhao et al., 2004). How-ever, to our best knowledge, most of the chaos syn-chronization strategies have been studied in similar oscillators. In fact, from the perspective of hardware implementation, the resistance and capacitance of the resistors and…     

基于自适应控制的混沌系统分时同步

讨论混沌系统的分时同步.通过设计控制策略实现了一个混沌系统的一个分量对另一个混沌系统的任一分量的分时跟踪同步,并且在同步的过程中,系统的参数也被识别.最后仿真结果表明了该方法的有效性.     

Application of chaotic theory to parameter estimation

High precision parameter estimation is very important for control system design and compensation. This paper utilizes the properties of chaotic system for parameter estimation. Theoretical analysis and experimental results indicated that this method has extremely high sensitivity and resolving power. The most important contribution of this paper is apart from the traditional engineering viewpoint and actualizing parameter estimation just based on unstable chaotic systems. Project supported by the National Science Foundation of China (Nos. 59975082 and 69675020).     

福建丰源水电厂励磁系统参数辨识探讨

为电网分析、计算提供准确的BPA标准发电机励磁系统模型参数,文章在Matlab环境下建立发电机励磁系统标准模型,以现场试验数据为基础,对模型参数进行辨识并确定其模型参数。随后,通过BPA软件进行空载阶跃响应校核以及负载阶跃响应校核,结果与现场实测波形基本一致,从而认为辨识得到的BPA标准模型参数是正确和有效的。     

常态二次曲面的曲线结构和射影结构

利用主截线与轮廓线讨论了二次曲面的曲线族结构,指出常态二次曲面是两平面束对应平面交线的轨迹,并给出交线束的普通坐标与齐次坐标的射影对应形式.     

Exponential synchronization of general chaotic delayed neural networks via hybrid feedback

This paper investigates the exponential synchronization problem of some chaotic delayed neural networks based on the proposed general neural network model, which is the interconnection of a linear delayed dynamic system and a bounded static nonlinear operator, and covers several well-known neural networks, such as Hopfield neural networks, cellular neural networks （CNNs）, bidirectional associative memory （BAM） networks, recurrent multilayer perceptrons （RMLPs）. By virtue of Lyapunov- Krasovskii stability theory and linear matrix inequality （LMI） technique, some exponential synchronization criteria are derived. Using the drive-response concept, hybrid feedback controllers are designed to synchronize two identical chaotic neural networks based on those synchronization criteria. Finally, detailed comparisons with existing results are made and numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws.